Work Needed to Increase Electron Speed

AI Thread Summary
To calculate the work needed to increase an electron's speed from rest to 0.52c, the relativistic energy equation E=Ymc^2 is utilized, where Y is the Lorentz factor. An initial attempt yielded a result of 3.19821x10^-22 J or 1.998x10^-9 MeV, but the accuracy of this calculation was questioned. The discussion emphasizes that work equals the change in energy, leading to a realization of the correct approach. Ultimately, the participant confirms understanding after receiving clarification.
DeadxBunny
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Homework Statement


How much work must be done to increase the speed of an electron from rest to 0.52c?


Homework Equations


I don't know :)


The Attempt at a Solution


I tried E=Ymc^2 where Y = 1/[1-(v/c)^2]^1/2 and got 3.19821x10^-22 J which translates to 1.998x10^-9 MeV, but I don't think this answer is right. Could someone explain this one to me? Thanks! :biggrin:
 
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Work = change in energy.

Does that help?
 
Oh, duh! I feel stupid lol.. I got it now. Thanks! :blushing:

KoGs said:
Work = change in energy.

Does that help?
 
No problem. I love helping people feel stupid :)
 
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